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Worksheet: Combining Functions
Q3:
If and are two real functions where and , find the domain of the function .
- A
- B
- C
- D
- E
Q4:
If where , and where , find and the domain of .
- A ,
- B ,
- C ,
- D ,
- E ,
Q5:
If where , and where , then find and its domain.
- A ,
- B ,
- C ,
- D ,
Q6:
If where , and where , find and fully simplify and the domain of .
- A ,
- B ,
- C ,
- D ,
- E ,
Q7:
If and are two real functions where and , determine the value of if possible.
- A
- B
- C1
- Dundefined
Q8:
If and are two real functions where and , determine the value of if possible.
- A
- B5
- C3
- Dundefined
Q9:
Given that , where , and , where , evaluate .
- A
- B724
- C
- D
Q10:
If where , and where , find and the domain of .
- A ,
- B ,
- C ,
- D ,
- E ,
Q11:
If and are two real functions where and , determine the domain of the function .
- A
- B
- C
- D
- E
Q12:
Given that and find and state its domain.
- A ,
- B ,
- C ,
- D ,
- E ,
Q13:
Given that and find and state its domain.
- A ,
- B ,
- C ,
- D ,
- E ,
Q14:
If where , and where , find the value of if possible.
- A16
- B46
- C36
- Dundefined
Q15:
What is the domain of the quotient , in terms of the domains of and ? Assume that both domains are subsets of the set of real numbers.
- A the union of the domain of and the domain of
- B the intersection of the domain of and the domain of
- C the larger of the domain of and the domain of
- D the intersection of the domain of and the domain of
- Ethe difference between the domain of and the domain of
Q16:
Given that and find and state its domain.
- A ,
- B ,
- C ,
- D ,
- E ,
Q17:
If and are two real functions where and , find the domain of the function .
- A
- B
- C
- D
- E
Q18:
Given that and find and state its domain.
- A ,
- B ,
- C